Semi-parallel symmetric operators for Hopf hypersurfaces in complex two-plane Grassmannians

2014/11/10 by Doo Hyun Hwang, Hwang, Doo Hyun, Hyunjin Lee +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Mathematics and Applications #math.DG

paper · pdf · doi:10.48550/arxiv.1411.2379

arXiv admin note: text overlap with arXiv:1410.2690

arxiv created 2014/11/10 · arxiv updated 2014/11/11

Abstract

In this paper, we introduce new notions of semi-parallel shape operators and structure Jacobi operators in complex two-plane Grassmannians G₂(\mathbb C^m+2). By using such a semi-parallel condition, we give a complete classification of Hopf hypersurfaces in G₂(\mathbb C^m+2).

Citations

• Real hypersurfaces in complex two-plane Grassmannians with Reeb parallel Ricci tensor in generalized Tanaka-Webster connection

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